Finding the Fourth Proportional to 1,259.54, 1,738.16 and 700.02

Step by Step Solution

1. Step 1: Write the proportion equation
   1,259.54 : 1,738.16 = 700.02 : x
2. Step 2: Convert to fraction form
   1,259.54/1,738.16 = 700.02/x
3. Step 3: Cross multiply
   1,259.54x = 1,738.16 × 700.02
4. Step 4: Simplify right side
   1,259.54x = 1,216,746.76
5. Step 5: Solve for x
   x = 1,216,746.76/1,259.54
6. Step 6: Final answer
   x = 966.02